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Finding the Fourth Proportional to 26,380.26, 39,574.02 and 8,855.10

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Solution

The fourth proportional to 26,380.26, 39,574.02 and 8,855.10 is: 13,283.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,380.26 : 39,574.02 = 8,855.10 : x
  2. Step 2: Convert to fraction form
    26,380.26/39,574.02 = 8,855.10/x
  3. Step 3: Cross multiply
    26,380.26x = 39,574.02 × 8,855.10
  4. Step 4: Simplify right side
    26,380.26x = 350,431,904.50
  5. Step 5: Solve for x
    x = 350,431,904.50/26,380.26
  6. Step 6: Final answer
    x = 13,283.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.